Représentations de G L ( n , k ) k est un corps p -adique

François Rodier

Séminaire Bourbaki (1981-1982)

  • Volume: 24, page 201-218
  • ISSN: 0303-1179

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Rodier, François. "Représentations de $GL(n,k)$ où $k$ est un corps $p$-adique." Séminaire Bourbaki 24 (1981-1982): 201-218. <http://eudml.org/doc/109988>.

@article{Rodier1981-1982,
author = {Rodier, François},
journal = {Séminaire Bourbaki},
keywords = {irreducible representations of GL(n); p-adic field},
language = {fre},
pages = {201-218},
publisher = {Société Mathématique de France},
title = {Représentations de $GL(n,k)$ où $k$ est un corps $p$-adique},
url = {http://eudml.org/doc/109988},
volume = {24},
year = {1981-1982},
}

TY - JOUR
AU - Rodier, François
TI - Représentations de $GL(n,k)$ où $k$ est un corps $p$-adique
JO - Séminaire Bourbaki
PY - 1981-1982
PB - Société Mathématique de France
VL - 24
SP - 201
EP - 218
LA - fre
KW - irreducible representations of GL(n); p-adic field
UR - http://eudml.org/doc/109988
ER -

References

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  1. [1] I.N. Bernstein, A.V. Zelevinsky - Representations of the group GL(n,F) where F is a local non-archimedean field, Uspekhi Mat. Nauk. vol.31, n° 3 (1976), 5-70. Zbl0348.43007MR425030
  2. [2] I.N. Bernstein, A.V. Zelevinsky - Induced representations of reductive p-adic groups I, Ann. Scient. E.N.S., 4e série, t. 10(1977), 441-472. Zbl0412.22015MR579172
  3. [3] A. Borel - Formes automorphes et séries de Dirichlet (d'après R.P. Langlands), Sém. Bourbaki1974/75, exposé n° 466, Lect. Notes in Math. n° 514, Springer-Verlag, 1976. Zbl0329.10019MR447118
  4. [4] A. Borel - Automorphic L-functions, in Automorphic forms, Representations and L-functions, Proc. Symp. pure Math. vol. 33, Amer. Math. Soc., Providence, 1979. Zbl0412.10017MR546608
  5. [5] A. Borel, N. Wallach - Continuous cohomology, discrete subgroups, and representations or reductive groups, Annals of Math. Studies n° 94, Princeton University Press, Princeton (N.J.), 1980. Zbl0443.22010MR554917
  6. [6] J.L. Brylinski - (Co)homologie d'intersection et faisceaux pervers, Sém. Bourbaki1981/82, exposé n° 585. Zbl0574.14017
  7. [7] P. Cartier - Sur les représentations des groupes réductifs p-adiques et leurs caractères, Sém. Bourbaki1975/76, exposé n° 471, Lect. Notes in Math. n° 567, Springer-Verlag, 1977. Zbl0365.22015MR463365
  8. [8] P. Cartier - Representations of p-adic groups : a survey, in Automorphic forms, Representations and L-functions, Proc. Symp. pure Math. vol. 33, Amer. Math. Soc., Providence (R.I.), 1979. Zbl0421.22010MR546593
  9. [9] P. Cartier - La conjecture locale de Langlands pour GL(2) et la démonstration de Ph. Kutzko, Sém. Bourbaki1979/80, exposé n° 550, Lect. Notes in Math. n° 842, Springer-Verlag, 1981. Zbl0498.12013MR636520
  10. [10] W. Casselman - The Steinberg character as a true character, in Harmonic analysis on homogeneous spaces, Proc. Symp. pure Math. vol. 26, Amer. Math. Soc., Providence (R.I.), 1973, 413-417. Zbl0289.22017MR338273
  11. [11] W. Casselman - Introduction to the theory of admissible representations of p-adic reductive groups, notes polycopiées, 1977. 
  12. [12] P. Deligne - Formes modulaires et représentations de GL(2) , in Modular Functions of One Variable II, Lect. Notes in Math. n° 349, Springer-Verlag, 1973. Zbl0271.10032MR347738
  13. [13] I.M. Gelfand, D.A. Kajdan - Representations of the group GL(n,K) where K is a local field, in Lie groups and their representations, J. Wiley & Sons, Londres, 1975. Zbl0348.22011MR404534
  14. [14] R. Godement, H. Jacquet - Zeta functions of simple algebras, Lect. Notes in Math. n° 260, Springer-Verlag, 1972. Zbl0244.12011MR342495
  15. [15] M. Goresky, R. Mac-Pherson - Intersection homology theory, Topology vol. 19, n° 2(1980), 135-162. Zbl0448.55004MR572580
  16. [16] Harish-Chandra - Harmonic analysis on reductive p-adic groups, in Harmonic analysis on Homogeneous spaces, Proc. Symp. pure Math. n° 26, Amer. Math. Soc., Providence (R.I.), 1973. Zbl0289.22018MR340486
  17. [17] R.E. Howe - Some qualitative results on the representation theory of GL(n) over a p-adic field, Pacific J. of Math.73, n° 2(1977). Zbl0385.22009MR492088
  18. [18] H. Jacquet - Sur les représentations des groupes réductifs p-adiques, C. R. Acad. Sci. Paris, t. 280(1975), 1271-1272. Zbl0309.22012MR369624
  19. [19] H. Jacquet - Generic representations, in Non-Commutative Harmonic Analysis, Lect. Notes in Math. n° 587, Springer-Verlag, 1977. Zbl0357.22010MR499005
  20. [20] H. Jacquet - Principal L-functions of the linear group, in Automorphic forms, Représentations and L-functions, Proc. Symp. pure Math. vol. 33, Amer.Math. Soc., Providence (R.I.), 1979. Zbl0413.12007MR546609
  21. [21] H. Jacquet, R.P. Langlands - Automorphic forms on GL(2) , Lect. Notes in Math. n° 114, Springer-Verlag, 1970. Zbl0236.12010MR401654
  22. [22] H. Jacquet, I.I. Piatetskii-Shapiro, J.A. Shalika - Automorphic forms on GL(3) , Annals of Math. n° 109, 1979. Zbl0401.10037
  23. [23] R.P. Langlands - On the classification of irreducible representations of real algebraic groups, notes polycopiées, Inst. for Adv. Study, Princeton (N.J.). 
  24. [24] F. Rodier - Décomposition spectrale des représentations lisses, in Non-Commutative Harmonic Analysis, Lect. Notes in Math. n° 587, Springer-Verlag, 1977. Zbl0357.22004MR460549
  25. [25] A.J. Silberger - The Langlands Quotient Theorem for p-adic groups, Math. Ann. n° 236(1978), 95-104. Zbl0362.20029MR507262
  26. [26] T.A. Springer - Quelques applications de la cohomologie d'intersection, Sém. Bourbaki1981/82, exposé n° 589. Zbl0526.22014
  27. [27] J. Tate - Number theoretic background, in Automorphic forms, Representations and L-functions, Proc. Symp. pure Math. vol. 33, Amer. Math. Soc., Providence (R.I.), 1979. Zbl0422.12007MR546607
  28. [28] A.V. Zelevinsky - Induced representations of reductive p-adic groups II. On irreducible representations of GL(n) , Ann. Scient. E.N.S., 4e série, t. 13(1980), 165-210. Zbl0441.22014MR584084
  29. [29] A.V. Zelevinsky - Un analogue p-adique de la conjecture de Kajdan-Lusztig, (en russe), Funkt. Anal. i ego Priloj. t. 15, n° 2(1981), 9-21. Zbl0463.22013MR617466

Citations in EuDML Documents

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  1. Colin J. Bushnell, Guy Henniart, Davenport-Hasse relations and an explicit Langlands correspondence, II : twisting conjectures
  2. Colin J. Bushnell, Guy Henniart, Philip C. Kutzko, Correspondance de Langlands locale pour GL n et conducteurs de paires
  3. Marko Tadić, Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
  4. Guy Henniart, La conjecture de Langlands locale numérique pour GL ( n )
  5. Guy Henniart, Représentations des groupes réductifs p -adiques
  6. Thomas J. Haines, Michael Rapoport, Shimura varieties with Γ 1 ( p ) -level via Hecke algebra isomorphisms: the Drinfeld case
  7. T. A. Springer, Quelques applications de la cohomologie d'intersection
  8. Henri Carayol, Preuve de la conjecture de Langlands locale pour G L n : travaux de Harris-Taylor et Henniart

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